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Finding the Third Proportional to 86,633,349,444 and 185,189,212,352.25

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Solution

The third proportional to 86,633,349,444 and 185,189,212,352.25 is: 395,864,232,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,633,349,444 : 185,189,212,352.25 = 185,189,212,352.25 : x
  2. Step 2: Convert to fraction form
    86,633,349,444/185,189,212,352.25 = 185,189,212,352.25/x
  3. Step 3: Cross multiply
    86,633,349,444x = 185,189,212,352.25 × 185,189,212,352.25
  4. Step 4: Simplify right side
    86,633,349,444x = 34,295,044,371,646,743,838,720
  5. Step 5: Solve for x
    x = 34,295,044,371,646,743,838,720/86,633,349,444
  6. Step 6: Final answer
    x = 395,864,232,327.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.